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Applied and Computational Harmonic Analysis

Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications

Short Title: Appl. Comput. Harmon. Anal.
Publisher: Elsevier (Academic Press), Orlando, FL
ISSN: 1063-5203
Online: http://www.sciencedirect.com/science/journal/10635203
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,462 Publications (since 1993)
References Indexed: 1,320 Publications with 41,096 References.
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...and 71 more Volumes
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Authors

36 Chui, Charles Kam-tai
25 Coifman, Ronald Raphaël
24 Han, Bin
22 Shen, Zuowei
21 Beylkin, Gregory
20 Averbuch, Amir Z.
19 Wang, Yang
17 Rokhlin, Vladimir
15 Shen, Lixin
14 Kutyniok, Gitta
14 Mhaskar, Hrushikesh N.
14 Sun, Qiyu
14 Zhou, Dingxuan
13 Aldroubi, Akram
13 Christensen, Ole
13 Fickus, Matthew C.
13 Goh, Say Song
13 Jiang, Qingtang
13 Wu, Hau-Tieng
11 Daubechies, Ingrid Chantal
11 Labate, Demetrio
11 Mixon, Dustin G.
11 Monzón, Lucas
11 Unser, Michael A.
10 Cai, Jian-Feng
10 Gribonval, Rémi
10 Zhuang, Xiaosheng
9 Bremer, James C.
9 Casazza, Peter George
9 Dong, Bin
9 Donoho, David Leigh
9 Dyn, Nira
9 Führ, Hartmut
9 Han, Deguang
9 Kim, Hong Oh
9 Li, Song
9 Pfander, Götz E.
9 Rauhut, Holger
9 Shkolnisky, Yoel
9 Vandergheynst, Pierre
9 Xu, Zhiqiang
8 Baraniuk, Richard G.
8 Cohen, Albert
8 Gröchenig, Karlheinz
8 Grohs, Philipp
8 Iglewska-Nowak, Ilona
8 Ji, Hui
8 Lai, Mingjun
8 Meyer, Yves F.
8 Nielsen, Morten
8 Sun, Wenchang
8 Wolf, Guy
8 Xu, Yuesheng
7 Adcock, Ben
7 Bermanis, Amit
7 Cabrelli, Carlos A.
7 Candès, Emmanuel J.
7 Cloninger, Alexander
7 Cordero, Elena
7 Eldar, Yonina Chana
7 He, Wenjie
7 Jia, Rong-Qing
7 Kim, Rae Young
7 Saab, Rayan
7 Saito, Naoki
7 Singer, Amit
7 Stöckler, Joachim
7 Tanner, Jared W.
7 Yang, Haizhao
7 Zhou, Xingwei
6 Antoine, Jean-Pierre
6 Balazs, Peter
6 Bodmann, Bernhard G.
6 Bownik, Marcin
6 Charina, Maria
6 De Vito, Ernesto
6 Edidin, Dan
6 Elad, Michael
6 Goodman, Timothy N. T.
6 Guo, Kanghui
6 Iwen, Mark A.
6 Li, Shidong
6 Mallat, Stephane Georges
6 Needell, Deanna
6 Plonka, Gerlind
6 Salhov, Moshe
6 Strohmer, Thomas
6 Torrésani, Bruno S.
6 Tygert, Mark
6 Wang, Jianzhong
6 Wilson, Edward N.
5 Benedetto, John Joseph
5 Berry, Tyrus
5 Calderbank, Arthur Robert
5 Chan, Raymond Hon-Fu
5 Chen, Dirong
5 Davenport, Mark A.
5 Feichtinger, Hans Georg
5 Foucart, Simon
5 Giryes, Raja
...and 1,701 more Authors
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Fields

780 Harmonic analysis on Euclidean spaces (42-XX)
507 Information and communication theory, circuits (94-XX)
417 Numerical analysis (65-XX)
192 Computer science (68-XX)
143 Approximations and expansions (41-XX)
141 Statistics (62-XX)
97 Functional analysis (46-XX)
83 Probability theory and stochastic processes (60-XX)
77 Operations research, mathematical programming (90-XX)
66 Partial differential equations (35-XX)
61 Linear and multilinear algebra; matrix theory (15-XX)
53 Operator theory (47-XX)
42 Combinatorics (05-XX)
37 Abstract harmonic analysis (43-XX)
36 Biology and other natural sciences (92-XX)
34 Special functions (33-XX)
31 Integral transforms, operational calculus (44-XX)
24 Systems theory; control (93-XX)
22 Quantum theory (81-XX)
18 Measure and integration (28-XX)
18 Functions of a complex variable (30-XX)
16 Real functions (26-XX)
15 Ordinary differential equations (34-XX)
15 Integral equations (45-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Potential theory (31-XX)
13 Topological groups, Lie groups (22-XX)
10 Optics, electromagnetic theory (78-XX)
9 Number theory (11-XX)
9 Differential geometry (53-XX)
9 Geophysics (86-XX)
8 Group theory and generalizations (20-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Difference and functional equations (39-XX)
6 Convex and discrete geometry (52-XX)
6 Fluid mechanics (76-XX)
5 Algebraic geometry (14-XX)
4 General and overarching topics; collections (00-XX)
4 Astronomy and astrophysics (85-XX)
3 Manifolds and cell complexes (57-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Commutative algebra (13-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

1,277 Publications have been cited 20,299 times in 10,196 Documents Cited by Year
Diffusion maps. Zbl 1095.68094
Coifman, Ronald R.; Lafon, Stéphane
403
2006
Framelets: MRA-based constructions of wavelet frames. Zbl 1035.42031
Daubechies, Ingrid; Han, Bin; Ron, Amos; Shen, Zuowei
326
2003
Wavelets on the interval and fast wavelet transforms. Zbl 0795.42018
Cohen, Albert; Daubechies, Ingrid; Vial, Pierre
297
1993
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples. Zbl 1163.94003
Needell, D.; Tropp, J. A.
276
2009
Iterative hard thresholding for compressed sensing. Zbl 1174.94008
Blumensath, Thomas; Davies, Mike E.
240
2009
Grassmannian frames with applications to coding and communication. Zbl 1028.42020
Strohmer, Thomas; Heath, Robert W. jun.
238
2003
On signal reconstruction without phase. Zbl 1090.94006
Balan, Radu; Casazza, Pete; Edidin, Dan
198
2006
The lifting scheme: A custom-design construction of biorthogonal wavelets. Zbl 0874.65104
Sweldens, Wim
175
1996
Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\). Zbl 1171.90014
Foucart, Simon; Lai, Ming-Jun
174
2009
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong
170
2008
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
161
1995
The theory of multiresolution analysis frames and applications to filter banks. Zbl 0915.42029
Benedetto, John J.; Li, Shidong
154
1998
Quantized frame expansions with erasures. Zbl 0992.94009
Goyal, Vivek K.; Kovačević, Jelena; Kelner, Jonathan A.
149
2001
Compactly supported tight and sibling frames with maximum vanishing moments. Zbl 1016.42023
Chui, Charles K.; He, Wenjie; Stöckler, Joachim
134
2002
On dual wavelet tight frames. Zbl 0880.42017
Han, Bin
121
1997
Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Zbl 0795.35021
Rokhlin, V.
119
1993
Diffusion wavelets. Zbl 1095.94007
Coifman, Ronald R.; Maggioni, Mauro
116
2006
Compressed sensing with coherent and redundant dictionaries. Zbl 1215.94026
Candès, Emmanuel J.; Eldar, Yonina C.; Needell, Deanna; Randall, Paige
115
2011
A framelet-based image inpainting algorithm. Zbl 1135.68056
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
114
2008
Frames for operators. Zbl 1230.42038
Găvruţa, Laura
111
2012
Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732
Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L.
104
2005
From graph to manifold Laplacian: the convergence rate. Zbl 1095.68102
Singer, A.
104
2006
On approximation of functions by exponential sums. Zbl 1075.65022
Beylkin, Gregory; Monzón, Lucas
100
2005
Biorthogonal spline wavelets on the interval – stability and moment conditions. Zbl 0922.42021
Dahmen, Wolfgang; Kunoth, Angela; Urban, Karsten
98
1999
Saving phase: injectivity and stability for phase retrieval. Zbl 1305.90330
Bandeira, Afonso S.; Cahill, Jameson; Mixon, Dustin G.; Nelson, Aaron A.
98
2014
A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035
Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark
97
2008
Compactly supported tight frames associated with refinable functions. Zbl 0948.42022
Chui, Charles K.; He, Wenjie
96
2000
Shannon sampling. II: Connections to learning theory. Zbl 1107.94008
Smale, Steve; Zhou, Ding-Xuan
96
2005
Wavelets on graphs via spectral graph theory. Zbl 1213.42091
Hammond, David K.; Vandergheynst, Pierre; Gribonval, Rémi
92
2011
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Zbl 1116.58007
Michor, Peter W.; Mumford, David
88
2007
Angular synchronization by eigenvectors and semidefinite programming. Zbl 1206.90116
Singer, A.
88
2011
Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Zbl 1103.60069
Nadler, Boaz; Lafon, Stéphane; Coifman, Ronald R.; Kevrekidis, Ioannis G.
87
2006
Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Zbl 1213.42133
Daubechies, Ingrid; Lu, Jianfeng; Wu, Hau-Tieng
84
2011
Oblique dual frames and shift-invariant spaces. Zbl 1043.42027
Christensen, O.; Eldar, Y. C.
83
2004
Detection of edges in spectral data. Zbl 0952.42001
Gelb, Anne; Tadmor, Eitan
82
1999
The wavelet element method. I: Construction and analysis. Zbl 0949.42024
Canuto, Claudio; Tabacco, Anita; Urban, Karsten
80
1999
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd
80
2009
On the stability of frames and Riesz bases. Zbl 0829.46006
Favier, S. J.; Zalik, R. A.
79
1995
Incompleteness of sparse coherent states. Zbl 0855.42024
Ramanathan, Jayakumar; Steger, Tim
78
1995
On the fast Fourier transform of functions with singularities. Zbl 0838.65142
Beylkin, G.
76
1995
Approximation by exponential sums revisited. Zbl 1189.65035
Beylkin, Gregory; Monzón, Lucas
75
2010
On minimax wavelet estimators. Zbl 0865.62023
Delyon, B.; Juditsky, A.
75
1996
Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
Candès, Emmanuel J.; Donoho, David L.
74
2005
Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions. Zbl 1202.31006
Abreu, Luís Daniel
74
2010
Sparse directional image representations using the discrete shearlet transform. Zbl 1147.68794
Easley, Glenn; Labate, Demetrio; Lim, Wang-Q
72
2008
A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
72
2011
Tight frame: an efficient way for high-resolution image reconstruction. Zbl 1046.42026
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei
69
2004
Sharp RIP bound for sparse signal and low-rank matrix recovery. Zbl 1310.94021
Cai, T. Tony; Zhang, Anru
69
2013
Universality of deep convolutional neural networks. Zbl 1434.68531
Zhou, Ding-Xuan
69
2020
Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083
Donoho, David L.
68
1993
Density of Gabor frames. Zbl 0960.42007
Christensen, Ole; Deng, Baiqiao; Heil, Christopher
67
1999
An algebraic characterization of injectivity in phase retrieval. Zbl 1354.42003
Conca, Aldo; Edidin, Dan; Hering, Milena; Vinzant, Cynthia
67
2015
Pseudo-splines, wavelets and framelets. Zbl 1282.42035
Dong, Bin; Shen, Zuowei
63
2007
Complex wavelets for shift invariant analysis and filtering of signals. Zbl 0990.94005
Kingsbury, Nick
63
2001
Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces. Zbl 1016.42022
Aldroubi, Akram
63
2002
The cosparse analysis model and algorithms. Zbl 1261.94018
Nam, S.; Davies, M. E.; Elad, M.; Gribonval, R.
63
2013
Quasilinear subdivision schemes with applications to ENO interpolation. Zbl 1046.65071
Cohen, Albert; Dyn, Nira; Matei, Basarab
62
2003
Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\). Zbl 1060.42025
Aldroubi, Akram; Cabrelli, Carlos; Molter, Ursula M.
62
2004
Exponential spectra in \(L^2(\mu)\). Zbl 1264.42010
He, Xing-Gang; Lai, Chun-Kit; Lau, Ka-Sing
62
2013
Provable approximation properties for deep neural networks. Zbl 1390.68553
Shaham, Uri; Cloninger, Alexander; Coifman, Ronald R.
59
2018
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
58
2005
A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\). Zbl 0961.42018
Bownik, Marcin
58
2000
Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\). Zbl 1040.42025
Galperin, Yevgeniy V.; Samarah, Salti
58
2004
Nonhomogeneous wavelet systems in high dimensions. Zbl 1241.42028
Han, Bin
57
2012
Concentration estimates for learning with \(\ell ^{1}\)-regularizer and data dependent hypothesis spaces. Zbl 1221.68201
Shi, Lei; Feng, Yun-Long; Zhou, Ding-Xuan
57
2011
Local decomposition of refinable spaces and wavelets. Zbl 0859.42025
Carnicer, J. M.; Dahmen, W.; Peña, J. M.
57
1996
Inversion of the Lions transmutation operators using generalized wavelets. Zbl 0872.34059
Trimèche, K.
57
1997
Using the matrix refinement equation for the construction of wavelets on invariant sets. Zbl 0815.42019
Micchelli, Charles A.; Xu, Yuesheng
57
1994
Harmonic analysis of neural networks. Zbl 0931.68104
Candès, Emmanuel J.
56
1999
Orthonormal bases of regular wavelets in spaces of homogeneous type. Zbl 1261.42057
Auscher, Pascal; Hytönen, Tuomas
56
2013
Interpolation via weighted \(\ell_{1}\) minimization. Zbl 1333.41003
Rauhut, Holger; Ward, Rachel
55
2016
Phase retrieval from coded diffraction patterns. Zbl 1329.78056
Candès, Emmanuel J.; Li, Xiaodong; Soltanolkotabi, Mahdi
55
2015
Variable bandwidth diffusion kernels. Zbl 1343.94020
Berry, Tyrus; Harlim, John
55
2016
Dynamical sampling. Zbl 1412.94140
Aldroubi, A.; Cabrelli, C.; Molter, U.; Tang, S.
54
2017
Wavelets with composite dilations and their MRA properties. Zbl 1086.42026
Guo, Kanghui; Labate, Demetrio; Lim, Wang-Q; Weiss, Guido; Wilson, Edward
53
2006
Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions. Zbl 1095.68095
Coifman, Ronald R.; Lafon, Stéphane
53
2006
Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space. Zbl 1197.42021
Han, Bin
53
2010
Orthonormal wavelets and tight frames with arbitrary real dilations. Zbl 0967.42023
Chui, Charles K.; Shi, Xianliang
52
2000
Data-driven tight frame construction and image denoising. Zbl 1336.94008
Cai, Jian-Feng; Ji, Hui; Shen, Zuowei; Ye, Gui-Bo
52
2014
Optimal linear transmission by loss-insensitive packet encoding. Zbl 1193.42113
Bodmann, Bernhard G.
50
2007
Random sampling of sparse trigonometric polynomials. Zbl 1123.94004
Rauhut, Holger
50
2007
A wavelet collocation method for the numerical solution of partial differential equations. Zbl 0853.65122
Bertoluzza, S.; Naldi, G.
50
1996
Wavelet frame based blind image inpainting. Zbl 1261.94006
Dong, Bin; Ji, Hui; Li, Jia; Shen, Zuowei; Xu, Yuhong
49
2012
Diffusion polynomial frames on metric measure spaces. Zbl 1242.42027
Maggioni, M.; Mhaskar, H. N.
48
2008
Explicit construction of framelets. Zbl 0984.42022
Petukhov, Alexander
48
2001
Analysis of multiwindow Gabor-type schemes by frame methods. Zbl 0885.42024
Zibulski, Meir; Zeevi, Yehoshua Y.
48
1997
Wavelet bi-frames with few generators from multivariate refinable functions. Zbl 1221.42062
Ehler, Martin; Han, Bin
48
2008
A variational approach to the consistency of spectral clustering. Zbl 1396.49013
García Trillos, Nicolás; Slepčev, Dejan
48
2018
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
46
2001
Convergence of vector subdivision schemes in Sobolev spaces. Zbl 1006.65153
Chen, Di-Rong; Jia, Rong-Qing; Riemenschneider, S. D.
46
2002
Nonstationary wavelets on the \(m\)-sphere for scattered data. Zbl 0858.42025
Narcowich, Francis J.; Ward, Joseph D.
46
1996
Phase retrieval: stability and recovery guarantees. Zbl 06298184
Eldar, Yonina C.; Mendelson, Shahar
46
2014
Constructing tight fusion frames. Zbl 1221.42052
Casazza, Peter G.; Fickus, Matthew; Mixon, Dustin G.; Wang, Yang; Zhou, Zhengfang
45
2011
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
45
2009
On the stability of the PPH nonlinear multiresolution. Zbl 1077.65138
Amat, Sergio; Liandrat, Jacques
45
2005
Least square regression with indefinite kernels and coefficient regularization. Zbl 1225.65015
Sun, Hongwei; Wu, Qiang
45
2011
Wavelets on the 2-sphere: A group-theoretical approach. Zbl 0945.42023
Antoine, J.-P.; Vandergheynst, P.
44
1999
Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations. Zbl 1184.46066
Khrennikov, A. Yu.; Shelkovich, V. M.
44
2010
Construction of multivariate compactly supported tight wavelet frames. Zbl 1106.42028
Lai, Ming-Jun; Stöckler, Joachim
44
2006
On the Nyström discretization of integral equations on planar curves with corners. Zbl 1269.65131
Bremer, James
43
2012
Time-frequency analysis on flat tori and Gabor frames in finite dimensions. Zbl 07789660
Abreu, L. D.; Balazs, P.; Holighaus, N.; Luef, F.; Speckbacher, M.
1
2024
A sharp upper bound for sampling numbers in \(L_2\). Zbl 1527.41001
Dolbeault, Matthieu; Krieg, David; Ullrich, Mario
11
2023
Estimation under group actions: recovering orbits from invariants. Zbl 1518.94016
Bandeira, Afonso S.; Blum-Smith, Ben; Kileel, Joe; Niles-Weed, Jonathan; Perry, Amelia; Wein, Alexander S.
6
2023
Injectivity of Gabor phase retrieval from lattice measurements. Zbl 1504.94040
Grohs, Philipp; Liehr, Lukas
6
2023
Regularization of inverse problems by filtered diagonal frame decomposition. Zbl 07628774
Ebner, Andrea; Frikel, Jürgen; Lorenz, Dirk; Schwab, Johannes; Haltmeier, Markus
4
2023
Constructive subsampling of finite frames with applications in optimal function recovery. Zbl 1528.41010
Bartel, Felix; Schäfer, Martin; Ullrich, Tino
3
2023
On 2-dimensional mobile sampling. Zbl 1504.42079
Rashkovskii, Alexander; Ulanovskii, Alexander; Zlotnikov, Ilya
3
2023
Understanding neural networks with reproducing kernel Banach spaces. Zbl 1511.46015
Bartolucci, Francesca; De Vito, Ernesto; Rosasco, Lorenzo; Vigogna, Stefano
3
2023
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions. Zbl 1509.82098
Gao, Yuan; Liu, Jian-Guo; Wu, Nan
3
2023
Algebraic compressed sensing. Zbl 1514.94009
Breiding, Paul; Gesmundo, Fulvio; Michałek, Mateusz; Vannieuwenhoven, Nick
2
2023
\(n\)-best kernel approximation in reproducing kernel Hilbert spaces. Zbl 1528.41078
Qian, Tao
2
2023
Generalization bounds for sparse random feature expansions. Zbl 1505.65039
Hashemi, Abolfazl; Schaeffer, Hayden; Shi, Robert; Topcu, Ufuk; Tran, Giang; Ward, Rachel
2
2023
The sparsity of LASSO-type minimizers. Zbl 1499.62243
Foucart, Simon
2
2023
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond. Zbl 07639165
Chui, Charles K.
2
2023
The universal approximation theorem for complex-valued neural networks. Zbl 1528.41050
Voigtlaender, Felix
2
2023
Phase function methods for second order linear ordinary differential equations with turning points. Zbl 1518.34012
Bremer, James
1
2023
Lower bounds on the low-distortion embedding dimension of submanifolds of \(\mathbb{R}^n\). Zbl 1522.46024
Iwen, Mark; Schmidt, Benjamin; Tavakoli, Arman
1
2023
Predictive algorithms in dynamical sampling for burst-like forcing terms. Zbl 1512.94044
Aldroubi, Akram; Huang, Longxiu; Kornelson, Keri; Krishtal, Ilya
1
2023
Tensor completion by multi-rank via unitary transformation. Zbl 1514.15037
Song, Guang-Jing; Ng, Michael K.; Zhang, Xiongjun
1
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Frames by orbits of two operators that commute. Zbl 1522.42060
Aguilera, A.; Cabrelli, C.; Carbajal, D.; Paternostro, V.
1
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Riesz transform associated with the fractional Fourier transform and applications in image edge detection. Zbl 1518.42009
Fu, Zunwei; Grafakos, Loukas; Lin, Yan; Wu, Yue; Yang, Shuhui
1
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Capacity dependent analysis for functional online learning algorithms. Zbl 07740081
Guo, Xin; Guo, Zheng-Chu; Shi, Lei
1
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Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipović and modulation spaces. Zbl 07740093
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1
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Stable parameterization of continuous and piecewise-linear functions. Zbl 07740094
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1
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Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies. Zbl 1506.94011
Chui, Charles K.; Jiang, Qingtang; Li, Lin; Lu, Jian
1
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Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application. Zbl 07628775
Chen, Ziyu; Wu, Hau-Tieng
1
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Stable recovery of entangled weights: towards robust identification of deep neural networks from minimal samples. Zbl 07628776
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1
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A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers. Zbl 1514.42037
Knutsen, Helge
1
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Harmonic analysis on directed graphs and applications: from Fourier analysis to wavelets. Zbl 1504.05112
Sevi, Harry; Rilling, Gabriel; Borgnat, Pierre
1
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On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures. Zbl 1527.28007
Li, Jinjun; Wu, Zhiyi
1
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Nodal domain count for the generalized graph \(p\)-Laplacian. Zbl 1512.35335
Deidda, Piero; Putti, Mario; Tudisco, Francesco
1
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Computing committors in collective variables via Mahalanobis diffusion maps. Zbl 1528.65007
Evans, Luke; Cameron, Maria K.; Tiwary, Pratyush
1
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Phase retrieval of bandlimited functions for the wavelet transform. Zbl 1517.42033
Alaifari, Rima; Bartolucci, Francesca; Wellershoff, Matthias
1
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Papoulis’ sampling theorem: revisited. Zbl 1509.94031
Tantary, Azhar Y.; Shah, Firdous A.; Zayed, Ahmed I.
1
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Local approximation of operators. Zbl 1510.41014
Mhaskar, H. N.
1
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High-order approximation rates for shallow neural networks with cosine and \(\mathrm{ReLU}^k\) activation functions. Zbl 1501.41006
Siegel, Jonathan W.; Xu, Jinchao
9
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Wigner analysis of operators. I: Pseudodifferential operators and wave fronts. Zbl 1485.94017
Cordero, Elena; Rodino, Luigi
9
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Generalization error of random feature and kernel methods: hypercontractivity and kernel matrix concentration. Zbl 07522503
Mei, Song; Misiakiewicz, Theodor; Montanari, Andrea
8
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Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods. Zbl 1492.94033
Ling, Shuyang
8
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Improved spectral convergence rates for graph Laplacians on \(\varepsilon \)-graphs and \(k\)-NN graphs. Zbl 07557811
Calder, Jeff; García Trillos, Nicolás
8
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Convex optimization in sums of Banach spaces. Zbl 1489.46074
Unser, Michael; Aziznejad, Shayan
7
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Loss landscapes and optimization in over-parameterized non-linear systems and neural networks. Zbl 07522504
Liu, Chaoyue; Zhu, Libin; Belkin, Mikhail
6
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Solving phase retrieval with random initial guess is nearly as good as by spectral initialization. Zbl 1485.94015
Cai, Jian-Feng; Huang, Meng; Li, Dong; Wang, Yang
6
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A mathematical theory of the computational resolution limit in one dimension. Zbl 1479.94037
Liu, Ping; Zhang, Hai
5
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Spectral analysis of weighted Laplacians arising in data clustering. Zbl 07432352
Hoffmann, Franca; Hosseini, Bamdad; Oberai, Assad A.; Stuart, Andrew M.
4
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Analysis and algorithms for \(\ell_p\)-based semi-supervised learning on graphs. Zbl 07557810
Flores, Mauricio; Calder, Jeff; Lerman, Gilad
4
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Hirschman-Widder densities. Zbl 1502.44004
Belton, Alexander; Guillot, Dominique; Khare, Apoorva; Putinar, Mihai
4
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Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation. Zbl 1496.65203
Cheng, Xiuyuan; Wu, Nan
4
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An extremal problem for polynomials. Zbl 1479.42001
Dmitrishin, Dmitriy; Smorodin, Andrey; Stokolos, Alex
3
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A necessary and sufficient condition for sparse vector recovery via \(\ell_1-\ell_2\) minimization. Zbl 1485.90095
Bi, Ning; Tang, Wai-Shing
3
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A sufficient condition for mobile sampling in terms of surface density. Zbl 07576441
Jaye, Benjamin; Mitkovski, Mishko
3
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Super-resolution wavelets for recovery of arbitrarily close point-masses with arbitrarily small coefficients. Zbl 1518.42049
Chui, Charles K.
3
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Twisted B-splines in the complex plane. Zbl 1484.41007
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2
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Differentially private SGD with non-smooth losses. Zbl 1480.90183
Wang, Puyu; Lei, Yunwen; Ying, Yiming; Zhang, Hai
2
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On description of dual frames. Zbl 1489.46018
Kamuda, Alan; Kużel, Sergiusz
2
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Sparse signal recovery from phaseless measurements via hard thresholding pursuit. Zbl 1479.94058
Cai, Jian-Feng; Li, Jingzhi; Lu, Xiliang; You, Juntao
2
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Signal recovery from a few linear measurements of its high-order spectra. Zbl 1479.94057
Bendory, Tamir; Edidin, Dan; Kreymer, Shay
2
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On the numerical evaluation of the prolate spheroidal wave functions of order zero. Zbl 1496.65034
Bremer, James
2
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A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy. Zbl 1512.41004
Yang, Hyoseon; Yoon, Jungho
2
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Gradient projection Newton pursuit for sparsity constrained optimization. Zbl 1501.65023
Zhou, Shenglong
2
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Frames of translates for model sets. Zbl 1487.42075
Matusiak, Ewa
2
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On a regularization of unsupervised domain adaptation in RKHS. Zbl 07472536
Gizewski, Elke R.; Mayer, Lukas; Moser, Bernhard A.; Nguyen, Duc Hoan; Pereverzyev, Sergiy; Pereverzyev, Sergei V.; Shepeleva, Natalia; Zellinger, Werner
2
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Multivariate Vandermonde matrices with separated nodes on the unit circle are stable. Zbl 1486.15026
Kunis, Stefan; Nagel, Dominik; Strotmann, Anna
2
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Image restoration: structured low rank matrix framework for piecewise smooth functions and beyond. Zbl 1484.65040
Cai, Jian-Feng; Choi, Jae Kyu; Li, Jingyang; Wei, Ke
1
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A proximal algorithm with backtracked extrapolation for a class of structured fractional programming. Zbl 1480.90238
Li, Qia; Shen, Lixin; Zhang, Na; Zhou, Junpeng
1
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Continuous wavelet frames on the sphere: the group-theoretic approach revisited. Zbl 1490.42033
Dahlke, S.; De Mari, F.; De Vito, E.; Hansen, M.; Hasannasab, M.; Quellmalz, M.; Steidl, G.; Teschke, G.
1
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Activation function design for deep networks: linearity and effective initialisation. Zbl 07522505
Murray, M.; Abrol, V.; Tanner, J.
1
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Deep microlocal reconstruction for limited-angle tomography. Zbl 07522506
Andrade-Loarca, Héctor; Kutyniok, Gitta; Öktem, Ozan; Petersen, Philipp
1
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Metric entropy limits on recurrent neural network learning of linear dynamical systems. Zbl 1487.93022
Hutter, Clemens; Gül, Recep; Bölcskei, Helmut
1
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An \(\mathcal{O}(1)\) algorithm for the numerical evaluation of the Sturm-Liouville eigenvalues of the spheroidal wave functions of order zero. Zbl 1495.65124
Rehan, Rafeh; Bremer, James
1
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Nonlinear wavelet-based estimation to spectral density for stationary non-Gaussian linear processes. Zbl 1493.62528
Li, Linyuan; Zhang, Biao
1
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Graph signal interpolation with positive definite graph basis functions. Zbl 1493.94005
Erb, Wolfgang
1
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A tailor-made 3-dimensional directional Haar semi-tight framelet for pMRI reconstruction. Zbl 1492.94022
Li, Yan-Ran; Shen, Lixin; Zhuang, Xiaosheng
1
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Toric symplectic geometry and full spark frames. Zbl 1496.42041
Needham, Tom; Shonkwiler, Clayton
1
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Rates of convergence of randomized Kaczmarz algorithms in Hilbert spaces. Zbl 1497.65090
Guo, Xin; Lin, Junhong; Zhou, Ding-Xuan
1
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The springback penalty for robust signal recovery. Zbl 1496.94010
An, Congpei; Wu, Hao-Ning; Yuan, Xiaoming
1
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A multiscale environment for learning by diffusion. Zbl 07472531
Murphy, James M.; Polk, Sam L.
1
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Irregular Gabor frames of Cauchy kernels. Zbl 1490.42031
Belov, Yurii; Kulikov, Aleksei; Lyubarskii, Yurii
1
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Hierarchical isometry properties of hierarchical measurements. Zbl 1485.94018
Flinth, Axel; Groß, Benedikt; Roth, Ingo; Eisert, Jens; Wunder, Gerhard
1
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Spectrality of self-affine Sierpinski-type measures on \(\mathbb{R}^2\). Zbl 1460.42008
Dai, Xin-Rong; Fu, Xiao-Ye; Yan, Zhi-Hui
33
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Stable super-resolution limit and smallest singular value of restricted Fourier matrices. Zbl 1460.42004
Li, Weilin; Liao, Wenjing
17
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Uniqueness of STFT phase retrieval for bandlimited functions. Zbl 1460.94017
Alaifari, Rima; Wellershoff, Matthias
15
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Reproducing kernel Hilbert space compactification of unitary evolution groups. Zbl 1473.37101
Das, Suddhasattwa; Giannakis, Dimitrios; Slawinska, Joanna
15
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Fractional Fourier transforms on \(L^p\) and applications. Zbl 1471.42009
Chen, Wei; Fu, Zunwei; Grafakos, Loukas; Wu, Yue
15
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Wavelet characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and its applications. Zbl 1477.46041
He, Ziyi; Wang, Fan; Yang, Dachun; Yuan, Wen
14
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High-dimensional sparse FFT based on sampling along multiple rank-1 lattices. Zbl 1467.65120
Kämmerer, Lutz; Potts, Daniel; Volkmer, Toni
12
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Quasi-projection operators in weighted \(L_p\) spaces. Zbl 1460.41015
Kolomoitsev, Yu.; Skopina, M.
12
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Spectrality of generalized Sierpinski-type self-affine measures. Zbl 1472.28007
Liu, Jing-Cheng; Zhang, Ying; Wang, Zhi-Yong; Chen, Ming-Liang
11
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Spectral convergence of graph Laplacian and heat kernel reconstruction in \(L^\infty\) from random samples. Zbl 1472.62178
Dunson, David B.; Wu, Hau-Tieng; Wu, Nan
10
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Gabor phase retrieval is severely ill-posed. Zbl 1464.94008
Alaifari, Rima; Grohs, Philipp
9
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Aliasing error of the \(\exp(\beta\sqrt{1-z^2})\) kernel in the nonuniform fast Fourier transform. Zbl 1464.65295
Barnett, Alex H.
9
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Random sampling and reconstruction of concentrated signals in a reproducing kernel space. Zbl 1467.94013
Li, Yaxu; Sun, Qiyu; Xian, Jun
9
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Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences. Zbl 1472.94043
Karnik, Santhosh; Romberg, Justin; Davenport, Mark A.
8
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\(\ell^1\)-analysis minimization and generalized (co-)sparsity: when does recovery succeed? Zbl 1460.94021
Genzel, Martin; Kutyniok, Gitta; März, Maximilian
7
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Almost everywhere generalized phase retrieval. Zbl 1460.42048
Huang, Meng; Rong, Yi; Wang, Yang; Xu, Zhiqiang
6
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Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE. Zbl 1460.94018
Alberti, Giovanni S.; Santacesaria, Matteo
6
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Sparse non-negative super-resolution – simplified and stabilised. Zbl 1460.94019
Eftekhari, Armin; Tanner, Jared; Thompson, Andrew; Toader, Bogdan; Tyagi, Hemant
6
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The recovery of complex sparse signals from few phaseless measurements. Zbl 1460.94027
Xia, Yu; Xu, Zhiqiang
5
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On Bayesian estimation and proximity operators. Zbl 1461.62040
Gribonval, Rémi; Nikolova, Mila
5
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Time-frequency transforms of white noises and Gaussian analytic functions. Zbl 1460.42009
Bardenet, Rémi; Hardy, Adrien
5
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Cited by 10,873 Authors

63 Shen, Zuowei
61 Christensen, Ole
56 Chui, Charles Kam-tai
55 Kutyniok, Gitta
55 Sun, Wenchang
53 Li, Song
53 Zhou, Dingxuan
52 Han, Deguang
52 Li, Yunzhang
52 Sun, Qiyu
50 Casazza, Peter George
48 Gröchenig, Karlheinz
48 Han, Bin
46 Amat Plata, Sergio
44 Mixon, Dustin G.
44 Xu, Yuesheng
43 Jørgensen, Palle E. T.
40 Jiang, Qingtang
40 Mhaskar, Hrushikesh N.
39 Plonka, Gerlind
39 Rauhut, Holger
38 Steidl, Gabriele
38 Wang, Yang
38 Yang, Dachun
37 Averbuch, Amir Z.
37 Grohs, Philipp
35 Chesneau, Christophe
35 Cordero, Elena
34 Dahlke, Stephan
33 Beylkin, Gregory
33 Labate, Demetrio
33 Potts, Daniel
33 Shah, Firdous Ahmad
33 Wu, Hau-Tieng
32 Adcock, Ben
32 Chen, Dirong
32 Feichtinger, Hans Georg
32 Kim, Hong Oh
32 Krahmer, Felix
32 Nicola, Fabio
31 Arefijamaal, Ali Akbar
31 Liandrat, Jacques
31 Ying, Lexing
30 Cai, Jian-Feng
30 Fickus, Matthew C.
30 Kevrekidis, Ioannis George
29 Aldroubi, Akram
29 Bownik, Marcin
29 García, Antonio G.
29 Nielsen, Morten
29 Yang, Shouzhi
28 Balazs, Peter
28 Gelb, Anne
28 Kim, Rae Young
28 Romero, José Luis
28 Toft, Joachim
27 Dong, Bin
27 Greengard, Leslie F.
26 Bodmann, Bernhard G.
26 Coifman, Ronald Raphaël
26 Daubechies, Ingrid Chantal
26 Huang, Ting-Zhu
26 Yang, Haizhao
25 Fornasier, Massimo
25 Powell, Alexander M.
25 Singer, Amit
25 Trillo, Juan Carlos
25 Zhuang, Xiaosheng
24 Charina, Maria
24 Ehler, Martin
24 Führ, Hartmut
24 Gabardo, Jean-Pierre
24 Goh, Say Song
24 Pfander, Götz E.
24 Rahimi, Asghar
24 Shen, Lixin
24 Vashisht, Lalit Kumar
23 Cabrelli, Carlos A.
23 De Vito, Ernesto
23 Dutkay, Dorin Ervin
23 Fadili, Jalal M.
23 Iwen, Mark A.
23 Jiang, Shidong
23 Leng, Jinsong
23 Xian, Jun
22 Dahmen, Wolfgang A.
22 Huang, Yongdong
22 Jia, Rong-Qing
22 Kamyabi-Gol, Rajab Ali
22 Karoui, Abderrazek
22 Khrennikov, Andreĭ Yur’evich
22 Lu, Jian
22 Yuan, Wen
22 Zeng, Tie Yong
21 Candès, Emmanuel J.
21 Conti, Costanza
21 Gribonval, Rémi
21 Ji, Hui
21 Lim, Jae Kun
21 Molter, Ursula Maria
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Cited in 757 Journals

975 Applied and Computational Harmonic Analysis
363 The Journal of Fourier Analysis and Applications
305 International Journal of Wavelets, Multiresolution and Information Processing
247 Journal of Computational Physics
230 Journal of Mathematical Analysis and Applications
221 Advances in Computational Mathematics
203 Journal of Computational and Applied Mathematics
170 Journal of Approximation Theory
154 SIAM Journal on Imaging Sciences
139 Applied Mathematics and Computation
139 Journal of Scientific Computing
137 Linear Algebra and its Applications
122 Inverse Problems
119 SIAM Journal on Scientific Computing
115 Journal of Functional Analysis
106 The Annals of Statistics
106 Journal of Mathematical Imaging and Vision
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95 Constructive Approximation
94 Mathematics of Computation
84 Numerical Functional Analysis and Optimization
70 Proceedings of the American Mathematical Society
69 Foundations of Computational Mathematics
68 Numerical Algorithms
68 Mathematical Problems in Engineering
62 Results in Mathematics
62 Journal of Pseudo-Differential Operators and Applications
61 Journal of Machine Learning Research (JMLR)
60 Journal of Inequalities and Applications
59 Acta Mathematica Sinica. English Series
57 Science China. Mathematics
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54 Applied Numerical Mathematics
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52 Acta Applicandae Mathematicae
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40 Neural Computation
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32 International Journal of Computer Mathematics
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30 Mathematical Programming. Series A. Series B
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27 Banach Journal of Mathematical Analysis
26 BIT
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24 Physica D
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24 Journal of Physics A: Mathematical and Theoretical
24 Journal of Function Spaces
23 Mathematics and Computers in Simulation
23 Pattern Recognition
23 Sahand Communications in Mathematical Analysis
22 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
22 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
22 SIAM/ASA Journal on Uncertainty Quantification
21 Chaos, Solitons and Fractals
21 Computational Optimization and Applications
21 Bernoulli
21 Information and Inference
20 Journal of Integral Equations and Applications
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